Measure of Central Tendency

Arithmetic Average (Mean), Trimmed Mean, Mode, Median, Weighted Mean, Mean Grouped Data, Quiz

Measure of Central Tendency

Trimmed Mean – the mean of a data set when extreme values are removed from the computation

Quiz

A. Consider the results of 7 quizzes of a student.95, 95, 83, 90, 87, 70, 95

1. What is the mean?2. What is the median?3. What is the mode?4. If you are tasked to produce a “trimmed”

mean, what is its value?

Quiz

B. Bernard Quiros received his grades at the end of second semester. The data below shows his subjects, units and grade. Compute his general weighted average (GWA) (Round off answer to three decimal digits)

Subject Units Grade

Philosophy 1 3 1.25

College Physics 1 4 2.25

Math 1 3 1.75

Math 2 Plane Trigo 4 1.75

C. An Essay composition contest has four criteria for evaluation:

Coherence ( 30%) Grammar (10 %), Development of the theme (50%), Word count (280 – 300 words) (10%).

Judges can score an essay on each of the criteria from 1 to 3.

3 – excellent2 – average1 – poor

Prof. Vizco gave Essay Alpha the following scores.

Coherence – 2Grammar – 3Development of the Theme – 3Word count - 2

What is the over-all rating of Essay Alpha from Prof. Vizco’s scorecard?

END

A. (70+83+87+95+95+95)/6 = 87.5B. (87+95)/2=91C. 95D. 91

Subject Units Grade wx

Philosophy 1 3 1.25 3.75

College Physics 1 4 2.25 9

Math 1 3 1.75 5.25

Math 2 Plane Trigo

4 1.75 7

Total 14 25

GWA = 25/14=1.786

Criteria Weight (%) Score wx

Coherence 30 2 60

Grammar 10 3 30

Development of Theme

50 3 150

Word Count 10 2 20

Total 100 260

Over-all Score from Prof Vizco’s score card

260/100 =2.60